Results 31 to 40 of about 1,050,138 (224)

Exceptional planar polynomials [PDF]

, 2014
Planar functions are special functions from a finite field to itself that give rise to finite projective planes and other combinatorial objects. We consider polynomials over a finite field $K$ that induce planar functions on infinitely many extensions of
Caullery, Florian, Schmidt, Kai-Uwe, Zhou, Yue   +2 more
core   +1 more source

Superregular Matrices over Finite Fields

Mathematics
A trivially zero minor of a matrix is a minor having all its terms in the Leibniz formula equal to zero. A matrix is superregular if all of its minors that are not trivially zero are nonzero.
Paulo Almeida, Miguel Beltrá, Diego Napp   +2 more
doaj   +1 more source

Pseudo-Chebyshev Functions Over Finite Fields

IEEE Open Journal of Circuits and Systems
In this paper, we introduce the notion of pseudo-Chebyshev functions over finite fields. In brief, such functions correspond to a generalization of the $n$ -th Chebyshev polynomial, where $n$ is not restricted to integer values, but can take on any ...
Juliano B. Lima, Daniel Panario, Jose R. de Oliveira Neto   +2 more
doaj   +1 more source

Distribution of constant terms of irreducible polynomials in ℤₚ[x] whose degree is a product of two distinct odd primes [PDF]

Notes on Number Theory and Discrete Mathematics
We obtain explicit formulas for the number of monic irreducible polynomials with prescribed constant term and degree q₁q₂ over a finite field, where q₁ and q₂ are distinct odd primes. These formulas are derived from work done by Yucas.
Sarah C. Cobb, Michelle L. Knox, Marcos Lopez, Terry McDonald, Patrick Mitchell   +4 more
doaj   +1 more source

A Small Subgroup Attack on Bitcoin Address Generation

Mathematics, 2020
We show how a small subgroup confinement-like attack may be mounted on the Bitcoin addresses generation protocol, by inspecting a special subgroup of the group associated to point multiplication.
Massimiliano Sala, Domenica Sogiorno, Daniele Taufer   +2 more
doaj   +1 more source

Towers of Function Fields over Non-prime Finite Fields [PDF]

, 2013
Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara's quantity $A(\ell)$, for $\ell = p^n$ with $p$ prime and $n>3$
Bassa, Alp, Beelen, Peter, Garcia, Arnaldo, Stichtenoth, Henning   +3 more
core   +1 more source

Gauge Fields Condensation at Finite Temperature

, 1993
The two-loop effective action for the SU(3) gauge model in a constant background field ${\bar A}_0(x,t)=B_0^3T_3+B_0^8T_8$ is recalculated for a gauge with an arbitrary $\xi$-parameter.
Abbott, Anishetty, Belyaev, Belyaev, Bernard, Enqvist, Ferrer, Ferrer, Kalashnikov, Kalashnikov, Kalashnikov, Kalashnikov, Kalashnikov, Kalashnikov, Kalashnikov, Kalashnikov, Kalashnikov, Kalashnikov, Kalashnikov, Krive, Krive, Linde, O.K. Kalashnikov, Rojas, Skalozub, Weiss   +25 more
core   +2 more sources

Normal‐Appearing White Matter Injury Mediates Chronic Deep Venous Hypoxia and Disease Progression in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang, Huiying Wang, Zhizheng Zhuo, Ai Guo, Ke Lv, Decai Tian, Chao Chai, Yunyun Duan, Shuang Xia   +8 more
wiley   +1 more source

The GL(n,Fp)—invariance of the Potts Hamiltonian

International Journal of Mathematics and Mathematical Sciences, 1997
After defining a meanfield by arithmetic means, using multiplicative characters of finite fields, its Potts Hamiltonian is exactly computed. Moreover, it proves to be invariant with respect to every change of basis in Fq over the prime field Fp.
Mihai Caragiu, Mellita Caragiu
doaj   +1 more source

FINITE UNDECIDABILITY IN NIP FIELDS

The Journal of Symbolic Logic, 2023
AbstractA field K in a ring language $\mathcal {L}$ is finitely undecidable if $\mbox {Cons}(T)$ is undecidable for every nonempty finite $T \subseteq {\mathtt{Th}}(K; \mathcal {L})$ . We extend a construction of Ziegler and (among other results) use a first-order classification of Anscombe and Jahnke to prove every NIP henselian nontrivially ...
openaire   +1 more source